Z9–I–1
All nine fields of given shape are to be filled with natural numbers so that:
• each of the numbers 2, 4, 6, and 8 is used at least once,
• four of the inner square boxes containing the products of the numbers of adjacent cells of the outer square,
• in the circle is the sum of the numbers of adjacent cells of the inner square.
Find out the smallest and the largest number that can be written in a circle.
• each of the numbers 2, 4, 6, and 8 is used at least once,
• four of the inner square boxes containing the products of the numbers of adjacent cells of the outer square,
• in the circle is the sum of the numbers of adjacent cells of the inner square.
Find out the smallest and the largest number that can be written in a circle.
Final Answer:

You need to know the following knowledge to solve this word math problem:
planimetrybasic operations and conceptsnumbersthemes, topicsGrade of the word problem
We encourage you to watch this tutorial video on this math problem: video1
Related math problems and questions:
- Square table
Determine the largest integer n for which the square table n×n can be filled with natural numbers from 1 to n² (n squared) so that at least one square power of the integer is written in each of its 3×3 square parts. - We are solving K
At the beginning we have a square 12x12 cells. Divide this square into an arbitrary number of rectangles, where only one rule must hold, namely that there must not be two rectangles with identical dimensions. Next, for this division we calculate the numbe - Hexagonal pattern
The figure shows two rows of hexagonal boxes that continue to the right without restriction. Fill in one field with one positive integer so that the product of the numbers in any three adjacent fields is 2018. Determine the number that will be in the top - Twenty
Twenty rabbits are put in 4 cells so that there are a different number of rabbits in each cell containing at least three rabbits. What is the largest possible number of rabbits in one cell? - Decide
The rectangle is divided into seven fields. In each box, write just one of the numbers 1, 2, or 3. Mirek argues that it can be done so that the sum of the two numbers written next to each other is always different. Zuzana (Susan) instead argues that it is - Digit number difference
The digits 1, 2, 4, and 8 form two four-digit numbers so that all 4 digits are used in the notation of each number. Calculate the difference between such largest even number and smallest odd number (in that order). - Comparing exponents
There are three numbers a, b, c written as the product of powers of the numbers. Find the largest number. a= 8 (6²)(8²) b= 16 (6²)(8²) c = (6¹⁺²) (8²)
